ANISOTROPIC MESH TRANSFORMATIONS AND OPTIMAL ERROR CONTROL

Recently, research originating in several different applications has a ppeared on unstructured triangular meshes in which the vertex distribu tion is not locally uniform, i.e. anisotropic unstructured meshes. The techniques used have the common features that the distribution of tri angle shapes for the mesh is controlled by specifying a symmetric tens or, and that the anisotropic mesh is the transform of an isotropic mes h. We discuss how these mechanisms arise in the theory of optimal erro r control, using simple model mesh generation problems, and review the related research in applications to computational fluid dynamics, sur face triangulation, and semiconductor simulation.